Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.of_isPushout
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {P : CategoryTheory.MorphismProperty C}
[self : P.IsStableUnderCobaseChange] {A A' B B' : C} {f : A ⟶ A'} {g : A ⟶ B} {f' : B ⟶ B'} {g' : A' ⟶ B'},
CategoryTheory.IsPushout g f f' g' → P f → P f'Alias of CategoryTheory.MorphismProperty.IsStableUnderCobaseChange.of_isPushout.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.IsPushoutstatement · cited by 219
- CategoryTheory.MorphismProperty.IsStableUnderCobaseChangestatement · cited by 33
- CategoryTheory.MorphismProperty.IsStableUnderCobaseChange.of_isPushoutproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.iff_of_isPushoutproof · cited by 2
- CategoryTheory.Square.IsPushout.epi_f₂₄proof · cited by 1
- RingHom.Flat.mapOfCompatibleSMulproof · cited by 1
- HomotopicalAlgebra.ModelCategory.hasLiftingProperty_of_joyalTrickproof · cited by 0